J. Vast

works on

affine groups over function fields 1 bi-reversible automata 1 finiteness properties of groups 1 lattices in products of trees 1 S-arithmetic groups 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.GR2026

Ascending chains of irreducible lattices, bi-reversible automata and affine arithmetic groups

Pierre-Emmanuel Caprace, Justin Vast

The paper constructs infinite ascending chains of irreducible lattices in products of homogeneous trees and defines bi‑reversible automata whose associated groups have prescribed f…

math.GR2026

Fractal anti-tori

Pierre-Emmanuel Caprace, Justin Vast

Let $I^$ be a group acting properly and cocompactly on the product of two trees $T_{1}$ and $T_{2}$ . An anti-torus is a non-periodic flat plane in $T_{1} \times T_{2}$ that is the convex h…

math.CO2026

On the self-similarity of rational power series with matrix coefficients

Pierre-Emmanuel Caprace, Justin Vast

Let $p$ be a prime, let $d \geq 1$ be an integer and $A$ be the algebra of square matrices of size $d$ over the field of order $p$ . Let $P, Q \in A [x_{1}, \dots x_{n}]$ be polynomials…